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Finding the Fourth Proportional to 6,540.78, 9,804.18 and 4,757.57

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Solution

The fourth proportional to 6,540.78, 9,804.18 and 4,757.57 is: 7,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.78 : 9,804.18 = 4,757.57 : x
  2. Step 2: Convert to fraction form
    6,540.78/9,804.18 = 4,757.57/x
  3. Step 3: Cross multiply
    6,540.78x = 9,804.18 × 4,757.57
  4. Step 4: Simplify right side
    6,540.78x = 46,644,023.62
  5. Step 5: Solve for x
    x = 46,644,023.62/6,540.78
  6. Step 6: Final answer
    x = 7,131.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.